Multicomponent Flow Modeling

  • Vincent Giovangigli

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Vincent Giovangigli
    Pages 1-4
  3. Vincent Giovangigli
    Pages 5-36
  4. Vincent Giovangigli
    Pages 37-58
  5. Vincent Giovangigli
    Pages 59-95
  6. Vincent Giovangigli
    Pages 97-117
  7. Vincent Giovangigli
    Pages 119-156
  8. Vincent Giovangigli
    Pages 157-192
  9. Vincent Giovangigli
    Pages 193-220
  10. Vincent Giovangigli
    Pages 221-243
  11. Vincent Giovangigli
    Pages 245-264
  12. Vincent Giovangigli
    Pages 265-300
  13. Vincent Giovangigli
    Pages 301-315
  14. Back Matter
    Pages 317-321

About this book


The goal of this is book to give a detailed presentation of multicomponent flow models and to investigate the mathematical structure and properties of the resulting system of partial differential equations. These developments are also illustrated by simulating numerically a typical laminar flame. Our aim in the chapters is to treat the general situation of multicomponent flows, taking into account complex chemistry and detailed transport phe­ nomena. In this book, we have adopted an interdisciplinary approach that en­ compasses a physical, mathematical, and numerical point of view. In par­ ticular, the links between molecular models, macroscopic models, mathe­ matical structure, and mathematical properties are emphasized. We also often mention flame models since combustion is an excellent prototype of multicomponent flow. This book still does not pretend to be a complete survey of existing models and related mathematical results. In particular, many subjects like multi phase-flows , turbulence modeling, specific applications, porous me­ dia, biological models, or magneto-hydrodynamics are not covered. We rather emphasize the fundamental modeling of multicomponent gaseous flows and the qualitative properties of the resulting systems of partial dif­ ferential equations. Part of this book was taught at the post-graduate level at the Uni­ versity of Paris, the University of Versailles, and at Ecole Poly technique in 1998-1999 to students of applied mathematics.


Dissipation Maxwell's equations Operator RSI Simulation algorithm algorithms applied mathematics geometry linear optimization mechanical engineering model modeling partial differential equation thermodynamics

Authors and affiliations

  • Vincent Giovangigli
    • 1
  1. 1.Centre de Mathématiques AppliquéesÉcole PolytechniquePalaiseau CedexFrance

Bibliographic information

  • DOI
  • Copyright Information Birkhäuser Boston 1999
  • Publisher Name Birkhäuser, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-7202-1
  • Online ISBN 978-1-4612-1580-6
  • Series Print ISSN 2164-3679
  • Buy this book on publisher's site